Jbreezy
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Homework Statement
Why is ##(-1)^{n+1} (-1)^{n+1} = (-1)^{2n+2}## but
##(-1)^{n+1} (1)^{n+1} = (-1)^{n+1}##
I thought in both instances you are to just add the exponents.
The discussion revolves around the properties of exponents, specifically focusing on the behavior of negative and positive bases when multiplied. The original poster questions why certain exponent rules seem to apply differently in two scenarios involving the base of -1 and 1.
Some participants have offered insights into the properties of exponents, noting that the base must be the same for the addition of exponents to hold true. The conversation appears to be ongoing, with participants reflecting on their understanding and clarifying concepts.
The original poster expresses confusion about the application of exponent rules, indicating a potential misunderstanding of the foundational principles involved. There is also an acknowledgment of common mistakes in reasoning about exponents.
Jbreezy said:Thanks. I can't even believe myself some days